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IAT (IISER) 2020
MCQ (Single Correct Answer)
+4
-1
Let $S=\{(a, b): a, b \in Q\}$ and $\ell$ be the line $y=m x+c$. Which of the following statements is not correct?
A
If $\ell$ passes through two points of $S$, then $m$ must be rational.
B
If $m$ is rational and $c$ is irrational, then $\ell$ passes through at least one point of $S$.
C
If $\ell$ passes through exactly one point of $S$, then $m$ must be irrational.
D
If $m$ is irrational and $c$ is rational, then $\ell$ passes through exactly one point of $S$.
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